Seminar

In a joint work with Thomas Lam we generalize Fomin and Zelevinsky's cluster algebras by allowing exchange polynomials to be arbitrary irreducible polynomials, rather than binomials. In the first talk I will explain the definition, and then concentrate on Laurent phenomenon algebras with linear seeds. The polytopes dual to cluster complexes of those algebras are essentially the nestohedra previously studied by Feichtner - Sturmfels, Postnikov and Zelevinsky.